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For the following incomplete distribution of marks of 100 pupils, median mark is known to be 32. Marks: 0-10 10-20 20-30 30-40 40-50 50-60 25 30 10 No. of Students: 10 What is the mean mark?
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For the following incomplete distribution of marks of 100 pupils, medi...
Calculating Mean Mark
Given Information
- Total number of pupils = 100
- Median mark = 32
- Marks distribution:
- 0-10: 25 students
- 10-20: 30 students
- 20-30: 10 students
- 30-40: unknown
- 40-50: unknown
- 50-60: unknown
Calculating the Missing Frequencies
Since the median mark is known to be 32, we know that 50 students scored below 32 and 50 students scored above 32. We can use this information to calculate the missing frequencies.
- 30-40: 50 - 25 - 30 - 10 = 5 students
- 40-50: unknown
- 50-60: unknown
Calculating the Mean
The mean is calculated by adding up all the marks and dividing by the total number of students.
- Marks:
- 0-10: 25 students * 5 marks = 125 marks
- 10-20: 30 students * 15 marks = 450 marks
- 20-30: 10 students * 25 marks = 250 marks
- 30-40: 5 students * 35 marks = 175 marks
- 40-50: unknown
- 50-60: unknown
- Total number of students = 100
- Mean = (125 + 450 + 250 + 175) / 100 = 20.5
Conclusion
The mean mark of the 100 pupils is 20.5.
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For the following incomplete distribution of marks of 100 pupils, median mark is known to be 32. Marks: 0-10 10-20 20-30 30-40 40-50 50-60 25 30 10 No. of Students: 10 What is the mean mark?
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